Constructions of partial difference sets and relative difference sets using Galois rings
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Publication:677175
DOI10.1007/BF00130580zbMath0867.05009OpenAlexW1975853397MaRDI QIDQ677175
Publication date: 28 May 1997
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00130580
Related Items
Packings of partial difference sets ⋮ A new construction of perfect nonlinear functions using Galois rings ⋮ Menon–Hadamard Difference Sets Obtained from a Local Field by Natural Projections ⋮ Rings and constructions of partial difference sets ⋮ Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction ⋮ A construction of partial difference sets in \(\mathbb{Z}_{p^ 2}\times \mathbb{Z}_{p^ 2}\times\cdots\times \mathbb{Z}_{p^ 2}\) ⋮ New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings ⋮ Constructions of semi-regular relative difference sets ⋮ Constructions of low rank relative difference sets in 2-groups using Galois rings ⋮ A family of partial difference sets with Denniston parameters in nonelementary abelian 2-groups
Cites Work
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- Partial difference sets
- Construction of relative difference sets in \(p\)-groups
- A new construction of circulant \(GH(p^ 2; \mathbb{Z}_ p)\)
- A survey of partial difference sets
- A family of difference sets in non-cyclic groups
- 4-phase sequences with near-optimum correlation properties
- Constructions of Partial Difference Sets and Relative Difference Sets on p -Groups
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